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almond37 [142]
3 years ago
11

factorise completely (x plus 2) Square - (x - 4) Square and hence find then value of 1000 Square minus 992 Square​

Mathematics
1 answer:
tekilochka [14]3 years ago
3 0

Answer:

x^2+3x+8

15936

Step-by-step explanation:

\left(x+2\right)^2-\left(x-4\right)

\left(x+2\right)\left(x+2\right)-\left(x-4\right)

x^2+2x+2x+4-(x-4)

x^2+4x+4-\left(x-4\right)

x^2+4x+4-x+4

x^2+3x+8

1000^2-992^2

1000000-984064

15936

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PLs help with these 2 problems
gavmur [86]

The expressions are simplified to 2x and \frac{2}{(x+ 1)(x - 1)}

<h3>How to simply the expressions</h3>

1.

Given the expression;

\frac{8x^2 - 4x}{4x - 2}

Let's factorize the numerator;

\frac{2x( 4x - 2)}{4x - 2}

Factor the common terms, we have;

2x

2. \frac{1}{x-1} - \frac{2}{x} + \frac{1}{x + 1}

Find the Lowest common multiple

\frac{x(x+ 1) - 2 (x+ 1)(x - 1) + x(x-1)}{x(x-1)(x+ 1)}

expand the brackets

\frac{x^2 + x -2(x^2 -x + x -1) + x^2 -x}{x(x-1)(x+ 1)}

\frac{x^2+x - 2x^2 -2 + 2x + 2 + x^2 - x}{x(x+1) (x -1)}

collect like terms

\frac{2x}{x(x+ 1) (x-1)}

Divide common terms

\frac{2}{(x+ 1)(x - 1)}

Thus, the expressions are simplified to 2x and \frac{2}{(x+ 1)(x - 1)}

Learn more about algebraic expressions here:

brainly.com/question/4344214

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2 years ago
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Step-by-step explanation:

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Using mental math, the approximate tip to leave for a bill of $81.79, if you tip 15% would be _____..a.$8.20b.$10.30c.$12.30d.$1
ASHA 777 [7]

Answer:

Using mental math, the approximate tip to leave for a bill of $81.79, if you tip 15% would be?

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Step-by-step explanation:

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3. 15%=10%+5% and in $ it is $8.179+$4.0895=$12.2685 that is nearly $12.30.

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3 years ago
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julia-pushkina [17]

Answer:

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3 years ago
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mario62 [17]

Answer:

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Step-by-step explanation:

1440 x 80/100

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